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I was at a friends house and he had a bad stuck case. I took the die home with me and put it in a can of kerosene.
Two days later I took it out, put it in my press, gave the handle a slap and the case popped right out of the die.
I might have the record for stuck cases. That ended someone on a forum (maybe this one) typed something along the lines of "A case will seldom stick without warning you first". If I get any hint of chatter, higher effort or grating I'll immediately stop and remove the case for relubing with Imperial sizing die wax.That and I threw away all my spray lubes, ending mystery misfires at the same time. Its a lot faster to relube a case here and there than to pull a stuck one.
When a case starts talking to you, its best to listen.
Another thing to look for is shell-holders that barely fit. Cases vary a bit from brand to brand, as do shellholders. Some of the fits are pretty sloppy, while others practically snap into place.
When you say that you can usually one-hand the press does that mean that sometimes you need two hands? Wow. Are you sure you don't mean one finger?
I've stuck a few cases, fortunately only one was difficult to extract because it was the only die where the decapping pin could only be removed from the die mouth: The others I could tap out with a hammer and punch.
I just had an idea though instead of mechanically assaulting the recalcitrant case. Presuming the primer is out, a gentle injection of compressed air through the primer hole might pressurize enough to pop the case out: Granted, to contain the pressure, you would be pushing against the direction the case would travel ... so it's just an untested idea. Some dies (particularly bottleneck sort) have a vent near the shoulder which might be an easier point of air ingress.
Yes, insufficient lube causes stuck cases, but, lots of times we don't clean up our dies and they can get rough with built-up crap and corrosion. That's when cases start to get stuck. Strip them down, soak in solvent, run a 12ga bore brush up in them, wipe them out. Problem solved for another ten years.